Odd-cycle systems with prescribed automorphism groups

被引：3

作者：

Lovegrove, G. J. ^{[1
]}

机构：

[1] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England

来源：

DISCRETE MATHEMATICS | 2014年 / 314卷

关键词：

Automorphism group; Cycle system; DECOMPOSITIONS; EXISTENCE;

D O I：

10.1016/j.disc.2013.09.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that for any finite group Gamma, there exists a (2k + 1)-cycle system whose full automorphism group is isomorphic to Gamma. Furthermore the minimal order of such a system is at most (4k + 1)(2 gamma log2 gamma) if Gamma is non-cyclic, and (4k 1)(3 gamma) otherwise, where gamma = [Gamma]. (c) 2013 Elsevier B.V. All rights reserved.

引用

页码：6 / 13

页数：8